Phys. Rev. Lett. 91, 087902 (2003) [4 pages]Operationally Invariant Measure of the Distance between Quantum States by Complementary MeasurementsReceived 8 April 2003; published 20 August 2003 We propose an operational measure of distance of two quantum states, which conversely tells us their closeness. This is defined as a sum of differences in partial knowledge over a complete set of mutually complementary measurements for the two states. It is shown that the measure is operationally invariant and it is equivalent to the Hilbert-Schmidt distance. The operational measure of distance provides a remarkable interpretation of the information distance between quantum states. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.087902
DOI:
10.1103/PhysRevLett.91.087902
PACS:
03.67.Mn, 03.65.Ta, 03.65.Wj, 42.50.–p
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.